Q:

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function? a. (0,8) b. (16,2) c.(3,24) d.(4,2)

Accepted Solution

A:
The ordered pair (4 , 2) is on the graph of the function ⇒ answer dStep-by-step explanation:Inverse variation can represented by the equation xy = k, where k is the constant of variationIf x increased then y decreased and vice versaTo find the answer let us do these steps1. Find the constant of variation2. Write the equation of variation xy = k3. Look for the ordered pair which satisfy the equation xy = k∵ The inverse variation function has a k value of 8∴ The equation is xy = 8Let us find the correct answer∵ The 1st ordered pair is (0 , 8)∵ 0 × 8 = 0 ⇒ ≠ 8∴ (0 , 8) is not the answer∵ The 2nd ordered pair is (16 , 2)∵ 16 × 2 = 32 ⇒ ≠ 8∴ (16 , 2) is not the answer∵ The 3rd ordered pair is (3 , 24)∵ 3 × 24 = 72 ⇒ ≠ 8∴ (3 , 24) is not the answer∵ The 4th ordered pair is (4 , 2)∵ 4 × 2 = 8∴ (4 , 2) is the answerThe ordered pair (4 , 2) is on the graph of the functionLearn more:You can learn more about the variation in brainly.com/question/4786449#LearnwithBrainly